103416946464 has 192 divisors, whose sum is σ = 309919841280. Its totient is φ = 29912924160.

The previous prime is 103416946433. The next prime is 103416946469. The reversal of 103416946464 is 464649614301.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (103416946469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21404529 + ... + 21409359.

It is an arithmetic number, because the mean of its divisors is an integer number (1614165840).

Almost surely, 2^103416946464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103416946464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154959920640).

103416946464 is an abundant number, since it is smaller than the sum of its proper divisors (206502894816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103416946464 is a wasteful number, since it uses less digits than its factorization.

103416946464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 103416946464 in words is "one hundred three billion, four hundred sixteen million, nine hundred forty-six thousand, four hundred sixty-four".